Evaluate
\frac{75}{17}\approx 4.411764706
Factor
\frac{3 \cdot 5 ^ {2}}{17} = 4\frac{7}{17} = 4.411764705882353
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\frac{6\times 25}{5^{2}+9}
Calculate 5 to the power of 2 and get 25.
\frac{150}{5^{2}+9}
Multiply 6 and 25 to get 150.
\frac{150}{25+9}
Calculate 5 to the power of 2 and get 25.
\frac{150}{34}
Add 25 and 9 to get 34.
\frac{75}{17}
Reduce the fraction \frac{150}{34} to lowest terms by extracting and canceling out 2.
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}